1. Give an advantage and a disadvantage of using real GDP per capita (PPP) as a measure of wel- fare. Explain if the disadvantage you identified means the GDP in PPP over or underestimates welfare. (5 points) 2. In 2021, India's GDP per capita was USD 2256, and 7248 in PPP dollars. For the same year, Brazil's GDP per capita was USD 7507 and 16031 in PPP dollars. Which country has the higher price index? According to the Balassa Samuelson hypothesis, which country has the higher relative productivity of tradable? (5 points) 3. In the theoretical Malthusian model, the law of motion of population is given by Lt+1 = ntLt. However, we use the equation Li+1 = 2 (AX)" (L:) -" to solve the model. Explain how the two equations relate, and why we can't use the first one to solve for the evolution of population directly. (5 points) 4. Suppose the utility function of parents is given by u(c, n, h) = (1 - y) Inc + y(Inn + Blah), where c is consumption, n is number of children, and h is their human capital. As in the model we saw in class, h = h(e, g) where e is the level of education of the child and g is the growth rate of technology. Interpret the parameter S. What does it mean for the cross derivative of h with respect to education and technology growth to be positive (heg > 0)? (5 points)